GCF of 1486/881, 4863/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1486/881, 4863/228 i.e 1/200868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1486/881, 4863/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1486/881,4863/228?
Given fractions are 1486/881,4863/228
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1486/881,4863/228, numerators are 1486,4863
Denominators are 881,228
The GCF of 1486,4863 is 1 .
LCM of 881,228 is 200868.
The greatest common factor of 1486/881,4863/228 = [GCF of 1486,4863]/[LCM of 881,228]= 1/200868
Therefore, the GCF of 1486/881,4863/228 is 1/200868.
To find the highest common factor of 1486,4863, we have to find the factors of both numbers and list the highest common factor.
The factors of 1486 are 1, 2, 743, 1486
The factors of 4863 are 1, 3, 1621, 4863
The HCF of 1486,4863 is 1.
Lets's calculate GCF of 1486,4863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1486,4863 By Matching Biggest Common Factor Method
Now, list down the factors of 1486
:1,2,743,1486
Now, list down the factors of 4863
:1,3,1621,4863
Greatest Common Factor
We found the factors 1486,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 1486,4863 is 1.
Lets's calculate LCM of 881,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 200868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200868
Therefore, the GCF of Fractions 1486/881,4863/228 is 1/200868
Least Common Multiple of 881,228 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 881,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,228) x common factors =1 x 1 = 1
LCM(881,228) = ( 881 × 228 ) / 1
LCM(881,228) = 200868 / 1
LCM(881,228) = 200868
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FAQs on GCF of Fractions of 1486/881, 4863/228
1. What is the HCF of 1486,4863?
The HCF of 1486,4863 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1486/881, 4863/228?
Answer: GCF of Numerators as per given numbers 1486/881, 4863/228 is
GCF of Numerators i.e. for 1486,4863 is 1
LCM of denominators i.e. for 881,228 is 200868.
Thus, GCF of Fractions is 1/200868.Finally, GCF of Fractions for 1486/881, 4863/228 is 1/200868.